2554164864 has 192 divisors, whose sum is σ = 7974537480. Its totient is φ = 781516800.

The previous prime is 2554164857. The next prime is 2554164887. The reversal of 2554164864 is 4684614552.

It is a happy number.

2554164864 is a `hidden beast` number, since 2 + 5 + 541 + 6 + 48 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1287374400 + 1266790464 = 35880^2 + 35592^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801354 + ... + 804534.

Almost surely, 2^2554164864 is an apocalyptic number.

2554164864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987268740).

2554164864 is an abundant number, since it is smaller than the sum of its proper divisors (5420372616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2554164864 is a wasteful number, since it uses less digits than its factorization.

2554164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3244 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2554164864 is about 50538.7461656895. The cubic root of 2554164864 is about 1366.9405976649.

The spelling of 2554164864 in words is "two billion, five hundred fifty-four million, one hundred sixty-four thousand, eight hundred sixty-four".